**Scenario Description:**Assume that a simple random sample has been selected from a normally distributed population, and you need to test the given claim. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.A safety administration conducted crash tests of child booster seats for cars. The results listed below are the measurements in hic (standard head injury condition units). The safety requirement is that the hic measurement should be less than 1000 hic. You are tasked with evaluating whether the sample indicates that the mean is less than 1000 hic, using a 0.01 significance level. Does the data suggest that all child booster seats meet the specified requirement?Measurements: 744, 664, 1099, 581, 535, 595**Hypotheses Options:**- **A.** - $ H_0: \mu < 1000 \, \text{hic} $ - $ H_1: \mu \geq 1000 \, \text{hic} $- **B.** - $ H_0: \mu = 1000 \, \text{hic} $ - $ H_1: \mu \neq 1000 \, \text{hic} $- **C.** - $ H_0: \mu = 1000 \, \text{hic} $ - $ H_1: \mu < 1000 \, \text{hic} $ - **D.** - $ H_0: \mu < 1000 \, \text{hic} $ - $ H_1: \mu \geq 1000 \, \text{hic} $The selected hypotheses are option **C**, which are:- Null Hypothesis ($ H_0 $): $ \mu = 1000 \, \text{hic} $- Alternative Hypothesis ($ H_1 $): $ \mu < 1000 \, \text{hic} $**Identify the Test Statistic:**Calculate the test statistic $ t $ using the given data. Provide the value rounded to three decimal places as needed.**Graph/Diagram Explanation:**There are no graphs or diagrams provided in this image. The focus is on statistical hypothesis testing based on given data and

Answered: Image /qna-images/answer/9ddd1b1d-4794-4d62-be9a-ef5bbbf9b647.jpg

Answered: Assume that a simple random sample has…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A data set includes data from student evaluations of courses. The summary statistics are n = 90, x=4.19, s= 0.61. Use a 0.05 significance level to test the claim that the population of student evaluations has a mean equal to 4.25. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? Test Statistic? P-Value? Reject H0 if the P-value is less than or equal to the significance level a. Fail to reject H0, if the P-value is greater than a.
A data set includes data from student evaluations of courses. The summary statistics are n=85, x= 3.34, s=0.63. Use a 0.05 significance level to test the claim that the population of student course evaluations has a mean equal to 3.50. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. Ho. There is correct C evidence to conclude that the mean of the population of student course evaluations is equal to 3.50
A data set includes data from student evaluations of courses. The summary statistics are n= 92, x = 3.57, s = 0.61. Use a 0.05 significance level to test the claim that the population of student course evaluations has a mean equal to 3.75. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.
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A data set includes data from student evaluations of courses. The summary statistics are n = 97, x = 3.68, s = 0.66. Use a 0.01 significance level to test the claim that the population of student course evaluations has a mean equal to 3.75. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? O A. Ho: H= 3.75 О в. Но: и-3.75 H1: u#3.75 H4: µ 3.75 Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. Ho. There is evidence to conclude that the original claim that the mean of the population of student course evaluations is equal to 3.75 correct.
An article reports that men over 6 feet tall earn more than men under 6 feet, with these numbers: average 6 foot plus male’s salary $55,000, average male’s salary under 6 foot tall of $47,000, with a p-value of 0.45. Based on that reported p-value, and using the common definition of "statistical significance," which is the case? With that p value, the results are not significant. With that p value, the differences are very close, but not statistically significant. The salary differences are not statistically significant. The salary differences are statistically significant.
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A data set lists earthquake depths. The summary statistics are n= 500, x = 6.37 km, s = 4.51 km. Use a 0.01 significance level to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 6.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. %3D What are the null and alternative hypotheses? O A. Ho: H#6.00 km H1:H=6.00 km O B. Ho: H= 6.00 km Hi :H>6.00 km O C. Ho: H= 6.00 km H1: µ<6.00 km OD. Ho:H=6.00 km H:µ#6.00 km Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. Ho. There is evidence to conclude that the original claim that the mean of the population of earthquake depths is 6.00 km correct. Click to select your answer(s). esc & %23 $ 4 5 6 2 3 R T Y J K…
A data set includes data from student evaluations of courses. The summary statistics are n= 95, x= 3.33, s= 0.66. Use a 0.10 significance level to test the claim that the population of student course evaluations has a mean equal to 3.50. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? O A. Ho: H= 3.50 О в. Но: и33.50 H1: µ3.50 Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. v Ho. There is v evidence to conclude that the mean of the population of student course evaluations is equal to 3.50 v correct.

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